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Simplifying 4a + (-10a + 24) = 6a + 9 Reorder the terms: 4a + (24 + -10a) = 6a + 9 Remove parenthesis around (24 + -10a) 4a + 24 + -10a = 6a + 9 Reorder the terms: 24 + 4a + -10a = 6a + 9 Combine like terms: 4a + -10a = -6a 24 + -6a = 6a + 9 Reorder the terms: 24 + -6a = 9 + 6a Solving 24 + -6a = 9 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 24 + -6a + -6a = 9 + 6a + -6a Combine like terms: -6a + -6a = -12a 24 + -12a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + -12a = 9 + 0 24 + -12a = 9 Add '-24' to each side of the equation. 24 + -24 + -12a = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -12a = 9 + -24 -12a = 9 + -24 Combine like terms: 9 + -24 = -15 -12a = -15 Divide each side by '-12'. a = 1.25 Simplifying a = 1.25
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